coinCount.js

'use strict';

const coins = [100,25,10,5,1];
const optimal = coinCount(48);

console.log(coinCount(25, without(coins, 25)));

console.log(
	optimal.map(n => coinCount(n)).join('\n')
);	

function coinCount(number, coins) {
	coins = coins || [100,25,10,5,1];
	const used  = [];
	let head;
	while (number > 0) {
		head = coins[0];
		if (number >= head) {
			number -= head;
			used.push(head);
		} else {
			coins.shift();
		}
	}
	return used;
}

function sum(arry) {
	return arry.reduce((a,b) => a + b, 0);
}

function factors(n, less) {
	const all = [];
	const f = coinCount(n, without(coins, n));

}